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Finding the Third Proportional to 141,922 and 213,476

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Solution

The third proportional to 141,922 and 213,476 is: 321,105.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,922 : 213,476 = 213,476 : x
  2. Step 2: Convert to fraction form
    141,922/213,476 = 213,476/x
  3. Step 3: Cross multiply
    141,922x = 213,476 × 213,476
  4. Step 4: Simplify right side
    141,922x = 45,572,002,576
  5. Step 5: Solve for x
    x = 45,572,002,576/141,922
  6. Step 6: Final answer
    x = 321,105.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.